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Question

A stone is dropped from the top of a tower and travels 44.5min the last second of its journey. The height of the tower is


A

44.1m

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B

49m

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C

78.4m

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D

72m

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Solution

The correct option is A

44.1m


Find the height of the tower.

Explanation of correct option:

Consider that the tower is h in total height and that it takes t to descend to the ground.

The height is given as:
h=12gt2...(i)
The height before last seconds is given as:
h-24.5=12g(t-1)2from(i)12gt-224.5=12g(t)2+12g-gtt=3s
Insert the value of t=3 in the equation (i):
h=12×9.8(3)2h=44.1m
Hence, the height of the tower is 44.1m.

Hence, Option A is the correct option.

Explanation of incorrect option:

Since, the height of the tower is 44.1m which is determined above is not equal any of the values mentioned in Option A, Option B and Option C

Thus, Option A Option B and Option C are incorrect option.

Hence,Option A is the correct option.


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